Peel and slice the carrots into 1/4-inch thick rounds (about 3 1/2 cups). Combine ingredients in a large saucepan and stir well. Bring to a simmer, cover, and cook over moderate heat for 15-20 minutes, until carrots are tender-crisp. Cook uncovered 3 to 5 minutes more or until liquid is reduced to a glaze.

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HINT: With a long, sharp knife, you can slice three carrots placed side-by-side at the same time.